Nonisothermal nematic liquid crystal flows with the Ball-Majumdar free energy

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00446507" target="_blank" >RIV/67985840:_____/15:00446507 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10231-014-0419-1" target="_blank" >http://dx.doi.org/10.1007/s10231-014-0419-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10231-014-0419-1" target="_blank" >10.1007/s10231-014-0419-1</a>

Result language
angličtina
Original language name
Nonisothermal nematic liquid crystal flows with the Ball-Majumdar free energy
Original language description
In this paper, we prove the existence of global-in-time weak solutions for an evolutionary PDE systemmodelling nonisothermal Landau–de Gennes nematic liquid crystal (LC) flows in three dimensions of space. In our model, the incompressible Navier–Stokes system for the macroscopic velocity u is coupled to a nonlinear convective parabolic equation describing the evolution of the Q-tensor Q, namely a tensor-valued variable representing the normalized second-order moments of the probability distribution function of the LC molecules. The effects of the (absolute) temperature ϑ are prescribed in the form of an energy balance identity complemented with a global entropy production inequality. Compared to previous contributions, we can consider here the physically realistic singular configuration potential f introduced by Ball and Majumdar.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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